Design Calculations

Footing Design Calculations Explained Step by Step (with a Worked Example)

1 June 2026·11 min read

An isolated footing has one job: spread the column load over enough soil area that the ground can carry it, without the footing itself breaking. The design walks through five checks in a fixed order. Here is the logic, followed by a complete worked example.

The five steps of isolated footing design

  1. Size the base area from the service (unfactored) load and the safe bearing capacity (SBC) of the soil.
  2. Compute the net factored upward soil pressure for structural design.
  3. Fix the depth — usually governed by shear (one-way or punching), not bending.
  4. Design the bending reinforcement at the column face.
  5. Check development length and detail the steel both ways.

Worked example: the numbers

Take a typical interior column of a G+2 house:

Column: 300 × 300 mm, service load P = 500 kN SBC of soil = 150 kN/m², concrete M20, steel Fe500 Step 1 — Base area (add ~10% for footing self-weight + backfill): A = 1.10 × 500 / 150 = 3.67 m² → provide 2.0 m × 2.0 m (A = 4.0 m²) Step 2 — Net factored upward pressure: qu = 1.5 × 500 / (2.0 × 2.0) = 187.5 kN/m²

Bending at the column face

Bending alone would allow a very thin footing — but shear almost always governs, which is why real footings are much deeper than the bending check suggests.

Cantilever projection each side: l = (2000 − 300) / 2 = 850 mm Mu (per full 2.0 m width) = qu × B × l² / 2 = 187.5 × 2.0 × 0.85² / 2 ≈ 135.5 kNm Depth needed for bending (Fe500): Mu = 0.133 × fck × b × d² d = √(135.5×10⁶ / (0.133 × 20 × 2000)) ≈ 160 mm

Shear: the checks that set the depth

  • One-way (beam) shear is checked on a section at distance d from the column face; the concrete’s design shear strength τc (from IS 456 Table 19, a function of grade and steel percentage) must exceed the applied shear stress.
  • Two-way (punching) shear is checked on a perimeter at d/2 around the column; the allowable stress is ks·0.25·√fck. Punching is usually the critical check for square footings under heavy columns.
Trying overall depth D = 450 mm → d ≈ 390 mm (50 mm cover + 12 mm bar): Punching perimeter at d/2: b0 = 4 × (300 + 390) = 2760 mm Punching force Vu = qu × (A − (0.69)²) = 187.5 × (4.0 − 0.476) ≈ 661 kN Stress τv = 661×10³ / (2760 × 390) ≈ 0.61 N/mm² Allowable 0.25 × √20 = 1.12 N/mm² ✓ (one-way shear also passes)

Reinforcement

Ast ≈ Mu / (0.87 × fy × 0.9 × d) = 135.5×10⁶ / (0.87 × 500 × 0.9 × 390) ≈ 890 mm² over 2.0 m width = 445 mm² per metre Minimum steel (0.12% of b·D) = 0.0012 × 1000 × 450 = 540 mm²/m → governs Provide 12 mm bars @ 200 mm c/c both ways (565 mm²/m) ✓
Notice how the code minimum, not the bending demand, decided the steel here — very common in lightly loaded residential footings. Also check that the bar’s development length (≈ 57φ ≈ 685 mm for 12 mm Fe500 in M20) fits within the 850 mm projection; here it does.

What this example deliberately leaves out

A real design also considers: moments and horizontal loads from the frame analysis, biaxial cases, water table (which reduces effective bearing), footings at different levels, proximity to boundaries (eccentric footings), and settlement. This is exactly the judgement layer a licensed structural engineer must apply to your specific site — a worked example, or any software output, is a starting point, never a construction document.

Frequently asked questions

What is safe bearing capacity (SBC)?

The pressure the soil can safely carry without shear failure or excessive settlement, determined from a soil investigation. Typical values range from under 100 kN/m² for soft clays to 300+ kN/m² for dense sands and weathered rock.

Why is the footing checked at “d from the face” and “d/2 from the face”?

These are the code-defined critical sections: one-way shear cracks form on an inclined plane starting about an effective depth (d) from the column face, while punching failure forms a truncated cone around the column, checked on a perimeter at d/2.

What minimum depth and cover should a footing have?

Footings generally use at least 50 mm cover against soil (on lean concrete/PCC) and a practical minimum overall thickness of about 300 mm; the governing depth comes from the shear checks.

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